A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The image of B, point B prime, has the coordinates (2, –3). What is the scale factor of the dilation?

Answers

Answer 1

Answer:

it is 1/5

Step-by-step explanation:

the factor of the coordinates b(10,-15) and b'(2,-3) is five, but the figure gets smaller and is a reduction. therefore the scale factor is between 0-1, making it 1/5.


Related Questions

I NEED HELP

mean, median, and mode are all measures of central tendency. When does each measure most accurately represent a set of data?

Answers

mean = when the data is continuous and symmetrical.
median = can determine a approximate average.
mode = to find the most common average or set of data.
hope this helps >:

How many seconds are in 3 minutes

Answers

There are 180 seconds in 3 minutes
There are 180 seconds on 3 mins

Kayla has 40 more stamps than Gabriel. Together, they have 138. How many stamps does Gabriel have?

Answers

Answer:

98

Step-by-step explanation:

Answer:

Gabriel has 98 stamps

Step-by-step explanation:

138-40=98

A rectangular park is 50 meters wide and 90 meters long. Give the length and width of another rectangular park that has the same perimeter but a smaller area.

Answers

Answer:

[tex]l = 100\,m[/tex] and [tex]w = 40\,m[/tex]

Step-by-step explanation:

The formulas for the area and perimeter of a rectangle are, respectively:

[tex]A = w\cdot l[/tex]

[tex]p = 2\cdot (w + l)[/tex]

The perimeter is equal to:

[tex]p = 2\cdot (50\,m + 90\,m)[/tex]

[tex]p = 280\,m[/tex]

Area is likewise equal to:

[tex]A = (50\,m)\cdot (90\,m)[/tex]

[tex]A = 4500\,m^{2}[/tex]

Then, equations are now described:

[tex]A = w \cdot l[/tex]

[tex]140\,m = w + l[/tex]

Likewise, the equation of area is simplified afterwards:

[tex]A = (140\,m - l)\cdot l[/tex]

[tex]A = 140\cdot l - l^{2}[/tex]

The area is reduced inasmuch as length is increased. Let assume that length is 100 meters. The length and width are described herein:

[tex]l = 100\,m[/tex] and [tex]w = 40\,m[/tex]

The caribou’s spring migration takes 2 weeks. The longest recorded migration was 838 miles. How far did the caribou travel per day?

Answers

Answer:

59.85714285714286‬ miles a day ≈ 60 miles a day

Step-by-step explanation:

To find this, we'd have to make the weeks into days.

2 weeks * 7 days = 14 days

Now we need to divide the miles traveled by the days:

838/14=59.85714285714286‬ miles a day or about 60 miles per day

Answer:

~ 60 days

Step-by-step explanation:

We have 2 weeks. Since there are 7 days a week, 2 weeks is 14 days.

To find the number of miles walked per day, we need to divide the total number of miles by the total number of days:

838 / 14 ≈ 59.9 ≈ 60 days

What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?

Answers

Answer:

A

Step-by-step explanation:

Each octagon has eight sides. How many sides (S) does z octagons have?

Answers

Answer:

8z

Step-by-step explanation:

Each octagon has 8 sides

Multiply the number of octagons by the number number of sides to get the total number of sides

8*z

We have a total number of 8z sides

Answer:

z octogons have 8z sides

Step-by-step explanation:

Evaluate the expression
7^0

Answers

Answer:

1

Step-by-step explanation:

Any number put to the 0 power is equal to 1.

Does that help?

Recipe for a cake needs 1 1/2 cups of milk. You are making 1/2 of the recipe. How much milk do you need

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

3/4s

Step-by-step explanation:

1 1/2 is equal to 6/4 or 1 and 2/4 so divided by 2 equals 3/4

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Answers

Answer:

b =7

Step-by-step explanation:

8b+15=71

Subtract 15 from each side

8b+15-15 =71-15

8b = 56

Divide each side by 8

8b/8 = 56/8

b = 7

Answer:

I believe b equals 7.

Step-by-step explanation:

8b +15= 71

-15. -15

8b = 56

56/8

7

b=7

An Italian sausage is 8 inches long. How many pieces of sausage can be cut from the 8-inch piece of sausage if each piece is to be two-thirds of an inch ?

Answers

Answer:

12 pieces

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Sorry Brainly says my answer is too short

Answer:

12

Step-by-step explanation:

Solve.
(2/3) (1/4) =

Answers

You multiply the numerators (top numbers) and separately multiply the (bottom numbers) denominators.

numerator (top number): 2 * 1 = 2

denominator (bottom number): 3 * 4 = 12

Now, we have 2/12 which can be simplified to 1/6.

1/6

8 is 2/3 of what number?

Answers

Answer:

12

Step-by-step explanation:

the number = x

2/3 of x =8

2x/3 = 8

2x= 24

x=12

Answer:

12

Step-by-step explanation:

8 is 1/3 of 24

so it's 2/3 of 12

The top of a ladder rest at a height of 15 feet against the side of a house. If the base of a ladder is 6 ft from the house what is the length of the ladder? round to the nearest foot.

Answers

Answer:

16 feet

Step-by-step explanation:

We use Pythagorean Theorem to find the height.

leg of triangle=  height of ladder = 15 feet

The hypotenuse of the formed triangle  = length of ladder = L

base = 6 feet

What is length of ladder?

L^2 = 15^2 + 6^2 = 225 + 36 = 261

L = root(261)  = 16.155 feet

Write the coordinates of one point that lies in the second quadrant of the coordinate plane.

Answers

Answer:

Examples are: (-1,1), (-2,1), and (-3,1).

Step-by-step explanation:

The second quadrant on a coordinate plane is located in the top left.

3.
The two right triangular prisms are congruent. What is the area of their bases?
15 in.
V = 90 in.
The two cylinders are congruent What is the height of cylinder B?

Answers

Step-by-step explanation:

3. The prisms are congruent, so they have the same base, height, and volume.

Volume of a prism is:

V = Ah

Plugging in values and solving for A:

90 in³ = A (15 in)

A = 6 in²

4. The cylinders are congruent, so they have the same radius, height, and volume.

Volume of a cylinder is:

V = πr²h

Plugging in values and solving for h:

176π cm³ = π (4 cm)² h

h = 11 cm

If P(not yellow) = StartFraction 4 over 15 EndFraction, which best describes the probability of the complement of the event?

Answers

Answer:

The P(yellow) = 11/15

Step-by-step explanation:

Here, we have;

P(not yellow) = 4/15

Mathematically, the addition of the probability of an event and its complement adds up to be 1

The complement we have here is P(yellow)

Thus, mathematically we have;

P(not yellow) + P(yellow) = 1

P(yellow) = 1 - P(not yellow)

From the question P(not yellow) = 4/15

Plugging this value, we have;

P(yellow) = 1 - 4/15 = 11/15

Answer:

C. 11/15

Step-by-step explanation:

hope this helped!

If a car can drive 62 miles on 3 gallons of gas, how many gallons of gas will it use to travel 231 miles?

Answers

Answer:

11 gallons of gas is needed to travel 231 miles.

Step-by-step explanation:

We can set up a proportion for this problem.

For every 62 miles, you use 3 gallons of gas.

[tex]\frac{62}{3}*\frac{231}{?}[/tex]

Now, let's cross multiply.

[tex]\frac{693}{62}[/tex] ≈ [tex]11[/tex]

So, you will need about 11 gallons of gas to travel 231 miles.

I need help can you please help me please I need it

Answers

I’m assuming the number 5 is the speed the person is at and the equation is used to calculate the distance of the race using the time and the speed (5 mph). Please mark me brainliest It would be pretty cash money of you

what’s the missing angle?

Answers

Answer:

113°

Step-by-step explanation:

Alternate exterior angle rule

When the lines are parallel, the alternate exterior (outside) angles are equal in measure.

please help asap! its needed badly

Answers

Answer:

can u retake the photo

Step-by-step explanation:

What is the value of x in the equation -6x = 5x+ 22?
-22
0 -2
02
O 22

Answers

Answer:

x = -2

Step-by-step explanation:

Solve  -6x = 5x + 22

add 6x to both sides

0 = 6x + 5x + 22

0 = 11x + 22

11x = -22

x = -22/11

x = -2

Which equations explain why Mya's claim must be true?

Answers

Answer:

(4) (M∠1 + m∠2) = 180 and (m∠3 + m∠4 + m∠2) = 180

Step-by-step explanation:

The correct equation which represent Mya's claim must be true is,

⇒ m ∠1 + m ∠2 = 180°

And, m ∠3 + m ∠4 + m ∠2 = 180°

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degree.

Given that;

Mya claims that,

⇒ m ∠3 + m ∠4 = m ∠1

We know that;

Sum of all interior angles in triangle are 180 degree.

And, Sum of opposite angles of a triangle is equal to its exterior angle.

Hence, We get;

The correct equation which represent Mya's claim must be true is,

⇒ m ∠1 + m ∠2 = 180°

And, m ∠3 + m ∠4 + m ∠2 = 180°

Learn more about the triangle visit;

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Solve the equation by completing the square. If necessary, round to the nearest hundredth. x2+10x=18

Answers

To solve the quadratic equation x² + 10x = 18 by completing the square, we rearrange the equation, complete the square, solve for x by taking the square root of both sides, and then isolate x. The two solutions are x = -5 + √43 and x = -5 - √43, which can be approximated if necessary.

To solve the equation x² + 10x = 18 by completing the square, we first need to move all terms to one side to get the equation in the form of ax² + bx + c = 0.

Subtracting 18 from both sides, we have x² + 10x - 18 = 0.

To complete the square, we take the coefficient of x, which is 10, divide it by 2 to get 5, and then square it to get 25. We add 25 to both sides of the equation and then subtract it right back to maintain the balance:

x² + 10x + 25 - 25 - 18 = 0

Now we group the perfect square trinomial and simplify:

(x + 5)² - 43 = 0

Next, we add 43 to both sides:

(x + 5)² = 43

Then we take the square root of both sides:

(x + 5) = √43

Subtract 5 from both sides to solve for x:

x = -5 ± √43

The solutions are x = -5 + √43 and x = -5 - √43.

Which expression is equal to 2x7x6?
Answers:
(2x7) + (2x6)
(2+7) x (2+6)
7+2+6
7x2x6
what's the answer?

Answers

Answer:

Option D is correct.

Step-by-step explanation:

As commutative principle 2x7x6 = 7x2x6

Hope this helps!

:)

The required form of the given expression is obtained as 7 × 2 × 6. The correct option is (D).

What is the commutative property for multiplication?

The commutative property for multiplication states that the order of multiplication is not a necessary condition to change the product,

For example the products obtained from both the expressions 2 × 3 and 3 × 2 are the same.

The given expression is 2 × 7 × 6.

As per the commutative property the order of multiplication does not change the product.

Thus, the given expression can be written as,

7 × 2 × 6

Hence, the given expression can be rewritten as  7 × 2 × 6.

To know more about commutative property click on,

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If y - 12 = 23, what would you do to solve for x? *

option 1 - add the 12 to both sides

option 2 - subtract the 12 from both sides

option 3 - subtract 23

Answers

Answer:

Option 1 - add the 12 to both sides.

Step-by-step explanation:

If you meant solve for the variable, y, then you should:

Option 1 - add the 12 to both sides.

y - 12 = 23

Isolate the variable, y. Add 12 to both sides:

y - 12 (+12) = 23 (+12)

y = 23 + 12

Simplify:

y = 23 + 12

y = 35

~

PLEASE HELP I need explanation if you can’t provide it’s ok thanks anyways

Answers

Answer:

We have, volume of cone:

V = (1/3) x base area x height

  = (1/3) x pi x radius^2 x height

  = (1/3) x pi x 2^2 x 4

  = 16.76 (mi3)

Option D is correct

Hope this helps!

:)

Answer:

16.76

Step-by-step explanation:

Volume= πr^2  h/3

so its  π (2)^2  4/3

which equals 16.76 mi^3

Chester used the regression equation of the weight loss plan to make a prediction within the given data range. Complete his work to calculate the number of weekly hours of aerobic activity needed for a monthly weight loss of 3 pounds. Round to the nearest hundredth.


1. Regression equation: y = 1.178 x + 0.71. 2. Substitute 3 for y: 3 = 1.178 x + 0.71. 3. Subtract 0.71 from both sides: 2.29 = 1.178 x. 4. Divided both sides by 1.178: StartFraction 2.29 Over 1.178 EndFraction = StartFraction 1.178 Over 1.178 EndFraction x.


About

hours of weekly aerobic activity will result in 3 pounds of monthly weight loss.

Answers

Answer: 1.94

Step-by-step explanation:

Answer:

1.94

Step-by-step explanation:

trust me

The system of equations shown below is graphed on a coordinate grid:

3y + x = 4
2y − x = 6

Which statement is true about the coordinates of the point that is the solution to the system of equations?
It is (−2, 2) and lies on both lines.
It is (−5, 3) and lies on both lines.
It is (−5, 3) and does not lie on either line.
It is (−2, 2) and does not lie on either line.

Answers

Answer:

A) (-2,2) lies on both lines

Step-by-step explanation:

Your answer would be the first option, (-2, 2).

We can solve this system of equations by adding them together, as the +x and -x will cancel:

3y + x = 4

+2y - x = 6

5y = 10

y = 2

Now we can find the x value by substituting the y value into one of the equations:

3(2) + x = 4

6 + x = 4

x = -2

Therefore your answer is (-2, 2). We know that it is the first option and not the last option because the point (-2, 2) does lie on both lines as it satisfies both equations when substituted in.

I hope this helps!

Maude evaluated the expression (32)–3. 1. 32 • (−3) 2. 36 3. 729 Analyze Maude’s work. Is she correct? If not, what was her mistake? Yes, she is correct. No, she should have added the exponents instead of multiplying. No, her exponent should be a negative value No, when evaluating 36, she should have found the product of 3 and 6.

Answers

Answer

3 one

Step-by-step explanation:

Answer:

Option 3. No, her exponent should be a negative value

Step-by-step explanation:

1. Yes, she is correct ❌

2. No, she should have added that exponents instead of multiplying ❌

3. No, her exponent should be a negative value✅

4. No, when evaluating 36, she should have found the product of 6 and 3❌

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